Actuarial Notes

SOA Exam P Sample Question 72

Study guide: Exam P-1

In an analysis of healthcare data, ages have been rounded to the nearest multiple of 5 years. The difference between the true age and the rounded age is assumed to be uniformly distributed on the interval from -2.5 years to 2.5 years. The healthcare data are based on a random sample of 48 people.

Calculate the approximate probability that the mean of the rounded ages is within 0.25 years of the mean of the true ages.

  • A) 0.14
  • B) 0.38
  • C) 0.57
  • D) 0.77
  • E) 0.88

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